The angular momentum of a body with mass ( m) moment of inertia ( I ) and angular velocity ( ω ) rad/s is equal to ____.
Iω2
I/ω2
I/ω
ω
A solid homogenous sphere of mass M and radius R is moving on a rough horizontal surface, partially rolling and partially sliding during this kind of motion of the sphere ?
Total Kinetic energy is conserved
The angular momentum of the sphere about the point of contact with the plane is conserved
Only the rotational kinetic energy about the centre of mass is conserved
Angular momentum about the centre of mass is conserved
A ball rolls without slipping. The radius of gyration of the ball about an axis passing through its centre of mass is k. If radius of the ball be R, then the fraction of total energy associated with its rotational energy will be
A solid sphere and a hollow sphere are thrown horizontally from a cliff with equal velocities, respectively. Then which sphere reaches first on earth ?
ABC is a triangular plate of uniform thickness. The sides are in the ratio shown in the figure. I AB – I BC and I CA are the moments of inertia of the plate about AB, BC and CA as axes respectively. Which one of the following relations is correct ?
I AB > IBC
I BC > I AC
I AB + I BC = ICA
I CA is maximum